Notes on Logic and Set Theory
By (author) P. T. Johnstone
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Notes on Logic and Set Theory by P. T. Johnstone
Book DescriptionThis short textbook provides a succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. It will be suitable for all mathematics undergraduates coming to the subject for the first time. The book is based on lectures given at the University of Cambridge and covers the basic concepts of logic: first order logic, consistency, and the completeness theorem, before introducing the reader to the fundamentals of axiomatic set theory. There are also chapters on recursive functions, the axiom of choice, ordinal and cardinal arithmetic and the incompleteness theorems. Dr Johnstone has included numerous exercises designed to illustrate the key elements of the theory and to provide applications of basic logical concepts to other areas of mathematics. Consequently the book, while making an attractive first textbook for those who plan to specialise in logic, will be particularly valuable for mathematics and computer scientists whose primary interests lie elsewhere.
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Book DetailsISBN: 9780521336925
(216mm x 138mm x 7mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 8-Oct-1987
Country of Publication: United Kingdom
Books By Author P. T. Johnstone
Topos Theory, Paperback (February 2014)
Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and more. 1977 edition.
Applications of Categories in Computer Science, Paperback (June 1992)» View all books by P. T. Johnstone
Selected papers reflecting current research in categories and computer science.
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